The concept of a heat function is introduced to visualize the path of
heat flow in a buoyancy-driven turbulent flow heated vertical flat pla
te. The velocities and the temperature field near the vertical plate a
re predicted numerically, using an algebraic flux model of turbulent h
eat transport. As an accurate prediction of the turbulent heat flux is
required in order to predict the heat function in the flow field, the
use of an algebraic flux model for the turbulent heat transport <(the
ta u(i))over bar>, is made as compared with a simple eddy diffusivity
hypothesis. The algebraic flux expression was closed with a low-Re-num
ber-k-epsilon-<(theta(2))over bar>-epsilon(theta) model. The solution
of the 4 equation low-Re-number-k-epsilon-<(theta(2))over bar>-epsilon
(theta) model predicts very well the local Nusselt number along the pl
ate height as well as the velocity and the temperature field near the
wall when compared with the experiments. Then the partial differential
equation for the heat function is numerically solved to show the true
path of heat flow in the buoyancy-driven turbulent flow field near a
heated vertical plate.